GATE Practice Question and Answer
8Q: In the given numbers, if in each number first digit is replaced by the third digit, second digit is replaced by the first digit and third digit is replaced by the second digit then which number will be the biggest ? 653 749 872 933 541 2186 05b5cc6c5e4d2b4197774dd41
5b5cc6c5e4d2b4197774dd41- 1933false
- 2872false
- 3749true
- 4653false
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Answer : 3. "749"
Explanation :
Answer: C) 749 Explanation: From the given data, Largest number = 974 Therefore, the required number is 749.
Q: The difference between the time taken by two trains to travel a distance of 350 km is 2 hours 20 minutes. If the difference between their speeds is 5 km/hr, what is the speed of faster train ? 2186 05b5cc6c9e4d2b4197774df6a
5b5cc6c9e4d2b4197774df6a- 136 kmphfalse
- 230 kmphtrue
- 334 kmphfalse
- 440 kmphfalse
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Answer : 2. "30 kmph"
Explanation :
Answer: B) 30 kmph Explanation: Let the speed of the faster train be 'S' kmph Then speed of the slower train will be '(S-5)' kmph Time taken by faster train = 350/S hrs Time taken by slower train = 350/(S-5) hrs 350s-5 - 350s = 2 hrs 20 min = 213 = 73 => S = 30 km/hr.
Q: Two bottles contains mixture of milk and water. First bottle contains 64% milk and second bottle contains 26% water. In what ratio these two mixtures are mixed so that new mixture contains 68% milk? 2186 05b5cc626e4d2b4197774b82a
5b5cc626e4d2b4197774b82a- 13 : 2true
- 22 : 1false
- 31 : 2false
- 42 : 3false
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Answer : 1. "3 : 2"
Explanation :
Answer: A) 3 : 2 Explanation: % of milk in first bottle = 64% % of milk in second bottle = 100 - 26 = 74% Now, ATQ 64% 74% 68% 6 4 Hence, by using allegation method, Required ratio = 3 : 2
Q: A person says that his son is 5 times as old as his daughter and his wife is 5 times older than his son and he is twice the age of his wife . The sum total of all the ages equals the age of the grand mother who celebrated her 81st birthday today. How old was his son? 2186 05b5cc715e4d2b4197774f413
5b5cc715e4d2b4197774f413- 150 yrstrue
- 225 yrsfalse
- 372 yrsfalse
- 440 yrsfalse
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Answer : 1. "50 yrs"
Explanation :
Answer: A) 50 yrs Explanation: Let the daughter age be 'x'Therefore, Son age = 5x, Mother age = 25x, Person age = 50x. Thus we get, x+5x+25x+50x = 8181x = 81x = 1 Daughter's age = 1, Son's = 5, Mother's = 25, Person's age = 50.
Q: The Good Governance Day (GGD) is observed on which day in India? 2185 05b5cc777e4d2b419777500e3
5b5cc777e4d2b419777500e3- 1December 22false
- 2December 25true
- 3D) is observed on which day in India? A) December 22 B) December 25 C)false
- 4is observed on which day in India? A) December 22 B) December 25 C) December 21 D) December 24false
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Answer : 2. "December 25"
Explanation :
Answer: B) December 25 Explanation: The Good Governance Day (GGD) is observed every year in India on the eve of the birth anniversary of former Prime Minister Atal Bihari Vajpayee.
Q: Tractor : Trailer :: Horse : ? 2184 05b5cc69de4d2b4197774c947
5b5cc69de4d2b4197774c947- 1Saddlefalse
- 2Enginefalse
- 3Carttrue
- 4Stablefalse
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Answer : 3. "Cart"
Explanation :
Answer: C) Cart Explanation: Here the given words are related in such a way that, Trailer is pulled by Tractor and similarly, Cart is pulled by Horse. Hence, Tractor : Trailer :: Horse : Cart.
Q: A person got Rs.48 more when he invested a certain sum at compound interest instead of simple interest for two years at 8% p.a. Find the sum ? 2181 05b5cc6e0e4d2b4197774eb61
5b5cc6e0e4d2b4197774eb61- 1Rs.8000false
- 2Rs.6500false
- 3Rs.7500true
- 4Rs.5000false
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Answer : 3. "Rs.7500"
Explanation :
Answer: C) Rs.7500 Explanation: p=d×1002R2 Where d is difference, r is rate of interest. => (48 x 100 x 100) / 8 x 8 = Rs.7500
Q: P, Q and R start simultaneously from A to B. P reaches B, turns back and meet Q at a distance of 11 km from B. Q reached B, turns back and meet R at a distance of 9 km from B. If the ratio of the speeds of P and R is 3:2, what is the distance between A and B ? 2178 05b5cc6c7e4d2b4197774de73
5b5cc6c7e4d2b4197774de73- 199true
- 2100false
- 389false
- 41false
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Answer : 1. "99"
Explanation :
Answer: A) 99 Explanation: Let, Distance between A and B = d Distance travelled by P while it meets Q = d + 11 Distance travelled by Q while it meets P = d – 11 Distance travelled by Q while it meets R = d + 9 Distance travelled by R while it meets Q = d – 9 Here the ratio of speeds of P & Q => SP : SQ = d + 11 : d – 11 The ratio of speeds of Q & R => SQ : SR = d + 9 : d – 9 But given Ratio of speeds of P & R => P : R = 3 : 2 SPSR = SPSQxSQSR = d+11d+9d-11d-9 => d+11d+9d-11d-9 = 3/2 => d = 1, 99 => d = 99 satisfies. Therefore, Distance between A and B = 99